What is the 5949th prime number?
The 5949th prime number is 58831. The next prime is 58889 (a gap of 58) and the one before is 58789.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5949th one is 58831.
- 2
58831 is prime because no prime up to ā58831 ā 242.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5949th prime is close to 5949 Ć ln(5949) ā 51703, and here it is 58831.
- 4
58831 has no twin: neither 58829 nor 58833 is prime.
Primes around the 5949th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5946 | 58771 | 8 |
| 5947 | 58787 | 16 |
| 5948 | 58789 | 2 |
| 5949 | 58831 | 42 |
| 5950 | 58889 | 58 |
| 5951 | 58897 | 8 |
| 5952 | 58901 | 4 |
Questions
What is the 5949th prime number?
58831.
Which prime number is 58831?
58831 is the 5949th prime number.
What is the sum of the first 5949 primes?
165,434,438.